2628253584 has 360 divisors, whose sum is σ = 9030359520. Its totient is φ = 708618240.

The previous prime is 2628253577. The next prime is 2628253591. The reversal of 2628253584 is 4853528262.

2628253584 is a `hidden beast` number, since 2 + 62 + 8 + 2 + 5 + 3 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (2628253577) and next prime (2628253591).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5627719 + ... + 5628185.

It is an arithmetic number, because the mean of its divisors is an integer number (25084332).

Almost surely, 2^2628253584 is an apocalyptic number.

2628253584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628253584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515179760).

2628253584 is an abundant number, since it is smaller than the sum of its proper divisors (6402105936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2628253584 is a wasteful number, since it uses less digits than its factorization.

2628253584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2628253584 is about 51266.4957257662. The cubic root of 2628253584 is about 1380.0317825068.

The spelling of 2628253584 in words is "two billion, six hundred twenty-eight million, two hundred fifty-three thousand, five hundred eighty-four".